Assertion (A): The sample mean x̄ changes from one sample to another. Reason (R): x̄ is a statistic, worked out from the units that happen to be in the sample.

Question 33

MediumOriginal question

Assertion (A): The sample mean $\bar{x}$ changes from one sample to another.
Reason (R): $\bar{x}$ is a statistic, worked out from the units that happen to be in the sample.

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

R is true: a statistic is computed from a sample.
Different samples hold different units, so $\bar{x}$ differs: A is true because of R.

Concept: Why statistics vary
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsParameters, statistics and the central limit theorem

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Ten questions from Sampling, Inference & the t-Test, at your own pace.

Assertion (A): The sample mean xˉ\bar{x}xˉ changes from one sample to another.Reason (R): xˉ\bar{x}xˉ is a statistic, worked out from the units that happen to be in the sample.

Explanation

Assertion (A): The sample mean $\bar{x}$ changes from one sample to another.
Reason (R): $\bar{x}$ is a statistic, worked out from the units that happen to be in the sample.